What is the standard form of a parabola given the vertices (1+3 sqrt 15 , -7) , (1-3 sqrt 15 , -7) and Endpoints of conjugate axis (1 , -7+5 sqrt 5) , (1 , -7-5 sqrt 5)?
a parabola only has one vertex. I assume you mean hyperbola.
center must be at (1,-7)
a = 3√15
b = 5√5
Now you have what you need.